Quantum evolution of the Universe in the constrained quasi-Heisenberg picture: from quanta to classics?
| dc.creator | Cherkas, S. L. | |
| dc.creator | Kalashnikov, V. L. | |
| dc.date | 2005-12-19 | |
| dc.date | 2006-04-03 | |
| dc.date.accessioned | 2026-07-07T10:28:14Z | |
| dc.date.available | 2026-07-07T10:28:14Z | |
| dc.description | The quasi-Heisenberg picture of minisuperspace model is considered. The The quasi-Heisenberg picture of minisuperspace model is considered. The suggested scheme consists in quantizing of the equation of motion and interprets all observables including the Universe scale factor as the time-dependent (quasi-Heisenbeg) operators acting in the space of solutions of the Wheeler--DeWitt equation. The Klein-Gordon normalization of the wave function and corresponding to it quantization rules for the equation of motion allow a time-evolution of the mean values of operators even under constraint H=0 on the physical states of Universe. Besides, the constraint H=0 appears as the relation connecting initial values of the quasi-Heisenbeg operators at $t=0$. A stage of the inflation is considered numerically in the framework of the Wigner--Weyl phase-space formalism. For an inflationary model of the ``chaotic inflation'' type it is found that a dispersion of the Universe scale factor grows during inflation, and thus, does not vanish at the inflation end. It was found also, that the ``by hand'' introduced dependence of the cosmological constant from the scale factor in the model with a massless scalar field leads to the decrease of dispersion of the Universe scale factor. The measurement and interpretation problems arising in the framework of our approach are considered, as well. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0512107 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0512107 | |
| dc.identifier | Grav.Cosmol.12:126-129,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177376 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Quantum evolution of the Universe in the constrained quasi-Heisenberg picture: from quanta to classics? | |
| dc.type | text |